Exact Spherically Symmetric Solutions in Massive Gravity

Details Exact Spherically Symmetric Solutions in Massive Gravity Exact Spherically Symmetric Solutions in Massive Gravity

2008-03-12

arxiv.org/abs/0803.1687v3

JHEP 0807:130,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex JHEP style, added clarifications. Version accepted in JHEP

Scientific paper

10.1088/1126-6708/2008/07/130

A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that generalizes the Schwarzschild metric to the case of massive gravity. Besides the usual 1/r term, the main effects of the new spin-two field are a shift of the total mass of the body and the presence of a new power-like term, with sizes determined by the mass and the shape (the radius) of the source. These modifications, being source dependent, give rise to a dynamical violation of the Strong Equivalence Principle. Depending on the details of the coupling of the new field, the power-like term may dominate at large distances or even in the ultraviolet. The effect persists also when the dynamics of the extra field is decoupled.

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